Q5 of 124 Page 1

The number of decimal places after which the decimal expansion of the rational number will terminate, is

Let x = p/q be a rational number, such that the prime factorization of q is of the form 2n 5m, where n, m are non-negative integers. Then x has a decimal expansion which terminates.


The maximum power of 2 or 5 in the given rational number is 2.


So, it will terminate after 2 places of decimals.

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